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Class 8 Maths Worksheet: Mensuration

Maths worksheets lesson 62: Mensuration: trapezium, cuboid and cube · Set 119 · 40 sums
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The method (Flat parts add up): Trapezium: area = ½ × (a + b) × h. Rhombus: area = ½ × d₁ × d₂. Cuboid: total surface area = 2(lb + bh + hl); four walls = 2h(l + b). Cube: total surface area = 6a²; edge = √(surface area ÷ 6). Missing height of a trapezium = 2 × area ÷ (a + b).

NameDateTime takenScore ___ / 40
  1. 1.The total surface area of a cube is 24 square cm. How long is each edge (in cm)?
  2. 2.A trapezium has an area of 143 square cm. Its parallel sides are 19 cm and 3 cm. What is the distance between them (in cm)?
  3. 3.The diagonals of a rhombus are 4 cm and 26 cm. What is its area (in square cm)?
  4. 4.Each edge of a cube is 16 cm. What is its total surface area (in square cm)?
  5. 5.The total surface area of a cube is 216 square cm. How long is each edge (in cm)?
  6. 6.A cuboid is 6 cm long, 7 cm wide and 10 cm high. What is its total surface area (in square cm)?
  7. 7.The diagonals of a rhombus are 20 cm and 24 cm. What is its area (in square cm)?
  8. 8.The diagonals of a rhombus are 20 cm and 30 cm. What is its area (in square cm)?
  9. 9.A cuboid is 6 cm long, 2 cm wide and 2 cm high. What is its total surface area (in square cm)?
  10. 10.A room is 5 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  11. 11.A trapezium has an area of 210 square cm. Its parallel sides are 16 cm and 19 cm. What is the distance between them (in cm)?
  12. 12.The diagonals of a rhombus are 12 cm and 10 cm. What is its area (in square cm)?
  13. 13.The diagonals of a rhombus are 16 cm and 22 cm. What is its area (in square cm)?
  14. 14.A cuboid is 4 cm long, 3 cm wide and 2 cm high. What is its total surface area (in square cm)?
  15. 15.A cuboid is 11 cm long, 11 cm wide and 8 cm high. What is its total surface area (in square cm)?
  16. 16.A cuboid is 14 cm long, 10 cm wide and 5 cm high. What is its total surface area (in square cm)?
  17. 17.The diagonals of a rhombus are 10 cm and 21 cm. What is its area (in square cm)?
  18. 18.A cuboid is 11 cm long, 2 cm wide and 10 cm high. What is its total surface area (in square cm)?
  19. 19.Each edge of a cube is 15 cm. What is its total surface area (in square cm)?
  20. 20.A room is 7 m long, 4 m wide and 4 m high. What is the area of its four walls (in square m)?
  21. 21.The diagonals of a rhombus are 16 cm and 25 cm. What is its area (in square cm)?
  22. 22.A room is 12 m long, 7 m wide and 4 m high. What is the area of its four walls (in square m)?
  23. 23.The diagonals of a rhombus are 14 cm and 11 cm. What is its area (in square cm)?
  24. 24.A room is 10 m long, 10 m wide and 4 m high. What is the area of its four walls (in square m)?
  25. 25.A cuboid is 15 cm long, 11 cm wide and 9 cm high. What is its total surface area (in square cm)?
  26. 26.A cuboid is 4 cm long, 2 cm wide and 9 cm high. What is its total surface area (in square cm)?
  27. 27.Each edge of a cube is 3 cm. What is its total surface area (in square cm)?
  28. 28.A cuboid is 8 cm long, 12 cm wide and 4 cm high. What is its total surface area (in square cm)?
  29. 29.Each edge of a cube is 4 cm. What is its total surface area (in square cm)?
  30. 30.A trapezium has parallel sides of 20 cm and 29 cm, and the distance between them is 6 cm. What is its area (in square cm)?
  31. 31.A cuboid is 7 cm long, 5 cm wide and 10 cm high. What is its total surface area (in square cm)?
  32. 32.A room is 6 m long, 7 m wide and 3 m high. What is the area of its four walls (in square m)?
  33. 33.The diagonals of a rhombus are 8 cm and 23 cm. What is its area (in square cm)?
  34. 34.The total surface area of a cube is 2400 square cm. How long is each edge (in cm)?
  35. 35.A trapezium has an area of 72 square cm. Its parallel sides are 5 cm and 4 cm. What is the distance between them (in cm)?
  36. 36.The diagonals of a rhombus are 30 cm and 25 cm. What is its area (in square cm)?
  37. 37.The diagonals of a rhombus are 14 cm and 18 cm. What is its area (in square cm)?
  38. 38.The diagonals of a rhombus are 14 cm and 25 cm. What is its area (in square cm)?
  39. 39.A trapezium has parallel sides of 10 cm and 9 cm, and the distance between them is 10 cm. What is its area (in square cm)?
  40. 40.The diagonals of a rhombus are 22 cm and 9 cm. What is its area (in square cm)?

Answer key

  1. 2
  2. 13
  3. 52
  4. 1536
  5. 6
  6. 344
  7. 240
  8. 300
  9. 56
  10. 72
  11. 12
  12. 60
  13. 176
  14. 52
  15. 594
  16. 520
  17. 105
  18. 304
  19. 1350
  20. 88
  21. 200
  22. 152
  23. 77
  24. 160
  25. 798
  26. 124
  27. 54
  28. 352
  29. 96
  30. 147
  31. 310
  32. 78
  33. 92
  34. 20
  35. 16
  36. 375
  37. 126
  38. 175
  39. 95
  40. 99

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